What is the Greatest Common Factor of 39333 and 39347?

Greatest common factor (GCF) of 39333 and 39347 is 7.

GCF(39333,39347) = 7

We will now calculate the prime factors of 39333 and 39347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39333 and 39347.

How to find the GCF of 39333 and 39347?

We will first find the prime factorization of 39333 and 39347. After we will calculate the factors of 39333 and 39347 and find the biggest common factor number .

Step-1: Prime Factorization of 39333

Prime factors of 39333 are 3, 7, 1873. Prime factorization of 39333 in exponential form is:

39333 = 3¹ × 7¹ × 1873¹

Step-2: Prime Factorization of 39347

Prime factors of 39347 are 7, 11, 73. Prime factorization of 39347 in exponential form is:

39347 = 7² × 11¹ × 73¹

Step-3: Factors of 39333

List of positive integer factors of 39333 that divides 39333 without a remainder.

1, 3, 7, 21, 1873, 5619, 13111

Step-4: Factors of 39347

List of positive integer factors of 39347 that divides 39333 without a remainder.

1, 7, 11, 49, 73, 77, 511, 539, 803, 3577, 5621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39333 and 39347. The biggest common factor number is the GCF number.
So the greatest common factor 39333 and 39347 is 7.

Also check out the Least Common Multiple of 39333 and 39347